@TechReport{ it:2001-019, author = {Wendy Kress and Jonas Nilsson}, title = {Boundary conditions and estimates for the linearized {N}avier-{S}tokes equations on staggered grids}, institution = {Department of Information Technology, Uppsala University}, department = {Division of Scientific Computing}, year = {2001}, number = {2001-019}, month = sep, abstract = {In this paper we consider the linearized Navier-Stokes equations in two dimensions under specified boundary conditions. We study both the continuous case and a discretization using a second order finite difference method on a staggered grid and derive estimates for both the analytic solution and the approximation on staggered grids. We present numerical experiments to verify our results. } }